In order to be able to publish, you need to have already set at least one type of deployment, that you can find in these articles : https://support.newired.com/hc/en-us/sections/360003121640-Deploying-Newired-Overlay
The publishing process involves the following steps:
1. Access Newired Editor, and set the Journeys that you want published as "Set to active".
1a. Click the dots
1b. Click on the cloud icon with the arrow pointing up.
2. Go to your Newired Portal.
3. Select the Site related to the Journeys you want to publish.
3. Click on Submit changes
4. Scroll down to the two green button as shown in the screenshot below: